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Simplifying 92 = 3z + 3 + z + 1 + 4z Reorder the terms: 92 = 3 + 1 + 3z + z + 4z Combine like terms: 3 + 1 = 4 92 = 4 + 3z + z + 4z Combine like terms: 3z + z = 4z 92 = 4 + 4z + 4z Combine like terms: 4z + 4z = 8z 92 = 4 + 8z Solving 92 = 4 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 92 + -8z = 4 + 8z + -8z Combine like terms: 8z + -8z = 0 92 + -8z = 4 + 0 92 + -8z = 4 Add '-92' to each side of the equation. 92 + -92 + -8z = 4 + -92 Combine like terms: 92 + -92 = 0 0 + -8z = 4 + -92 -8z = 4 + -92 Combine like terms: 4 + -92 = -88 -8z = -88 Divide each side by '-8'. z = 11 Simplifying z = 11
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